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Finding the Fourth Proportional to 14,410.21, 21,617.93 and 7,014.68

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Solution

The fourth proportional to 14,410.21, 21,617.93 and 7,014.68 is: 10,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.21 : 21,617.93 = 7,014.68 : x
  2. Step 2: Convert to fraction form
    14,410.21/21,617.93 = 7,014.68/x
  3. Step 3: Cross multiply
    14,410.21x = 21,617.93 × 7,014.68
  4. Step 4: Simplify right side
    14,410.21x = 151,642,861.21
  5. Step 5: Solve for x
    x = 151,642,861.21/14,410.21
  6. Step 6: Final answer
    x = 10,523.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.